History

Origin

The notion of Carter subgroup was introduced in a paper by Roger W. Carter where he showed that in solvable groups, the Carter subgroups (as he defined them) form a single conjugacy class of subgroups.

Development

Through a long series of papers (see the References below) which first explored Carter subgroups of solvable groups, and then Carter subgroups of various linear groups and groups of Lie type, it has finally been shown that in any finite group, the Carter subgroups form a single conjugacy class. The final proof was by Vdovin, in his paper Carter subgroups of finite almost simple groups.